Pre-Calculus - How to simplify a rational trigonometric expression cos^2(θ)/cot^2(θ)

The video tutorial explains how to simplify trigonometric expressions using reciprocal identities. It begins by introducing the concept of rewriting division as multiplication to simplify expressions. The instructor demonstrates how to apply trigonometric identities, such as converting cotangent to tangent and using sine and cosine, to achieve a simplified form. The tutorial emphasizes that multiple methods can lead to the same simplified result, highlighting the flexibility in solving trigonometric problems.

Discuss the significance of rewriting division as multiplication in the context of trigonometric identities.

What alternative methods could be used to simplify the original expression?